Courses Catalogue
Syllabus of the course: General Relativity and Gravity
In this web page we provide the syllabus of the course General Relativity and Gravity, offered by the Department of Physics.
The list of the courses offered during the current accademic year is available here.
The list of all courses offered by the Department of Physics is available here.
Code  Φ324 

Type  B 
ECTS  6 
Hours  4 
Semester  Winter 
Instructor  A. Porfyriadis 
Program  Monday 11:0013:00, Room 1 Wednesday 11:0013:00, Room 1 
Web page  https://eclass.physics.uoc.gr/courses/PH324/ 
Goal of the course  This is an elective course for advanced physics students with the appropriate background. Covers the principles of gravity theory based on Einstein’s general theory of relativity. Topics include: differential geometry, the principle of equivalence and Einstein’s field equation, the Schwarzschild solution, experimental tests, black holes, and gravitational waves. 
Syllabus  Geometric viewpoint on flat space physics, Special Relativity Spacetime interval, Lorentz transformations, Vectors and dual vectors (oneforms), Tensors Riemannian geometry Manifolds, The metric, Parallel transport and Christoffel symbols, Geodesics, Covariant differentiation, The curvature tensor Gravity The Einstein equation, The Equivalence Principle, The Newtonian limit, Gravitational redshift, Including matter: the energymomentum tensor, The cosmological constant Gravitational waves Perturbation theory, Gauge transformations, The polarization of gravitational waves, Energy and momentum carried by waves, Detection of gravitational waves The Schwarzschild solution Derivation of the Schwarzschild metric, Birkhoff’s theorem, Geodesics of Schwarzschild, Experimental tests, Coordinate and curvature singularities Black Holes The Schwarzschild black hole, Killing and event horizons, Charges of spacetimes: mass, angular momentum, electric charge, The Vaidya metric 
Bibliography  The main textbook of the course is:

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